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 ArcCsch

 http://functions.wolfram.com/01.29.16.0024.01

 Input Form

 ArcCsch[Sqrt[1/(z - 1)]] == (Pi I)/2 + ArcCsch[I/Sqrt[z]] /; 0 < Arg[z] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["1", RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["ArcCsch", "[", FractionBox["\[ImaginaryI]", SqrtBox["z"]], "]"]]]]]], "/;", RowBox[List["0", "<", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 csch - 1 ( 1 z - 1 ) π 2 + csch - 1 ( z ) /; 0 < arg ( z ) < π Condition 1 z -1 -1 1 2 2 -1 z 1 2 -1 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["1", RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["ArcCsch", "[", FractionBox["\[ImaginaryI]", SqrtBox["z"]], "]"]]]], "/;", RowBox[List["0", "<", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2003-08-21